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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7

In an isosceles triangle one angle is 76°. If the other two angles are equal find them - Mathematics

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Question

In an isosceles triangle one angle is 76°. If the other two angles are equal find them

Sum

Solution

In an isosceles triangle, angle opposite to equal sides are equal

Let the equal angles be x° and x°

In a triangle the sum of the three angles is 180°

x° + x° + 76° = 180°

x°(1 + 1) = 180° – 76° = 104°

2x = 104°

x = `(104^circ)/2` = 52°

x = 52°

∴ Other two angles are 52° and 52°.

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Chapter 4: Geometry - Exercise 4.3 [Page 86]

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Samacheer Kalvi Mathematics - Term 2 [English] Class 7 TN Board
Chapter 4 Geometry
Exercise 4.3 | Q 1 | Page 86
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